document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183959>Question 183959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a regular polygon has one interior angle that measures 160 degrees. how many sides does it have? i don't know how to do it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138002 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?<BR>\n" );
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document.write( "Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs.<BR>\n" );
document.write( "The sum of the interior angles of a polygon is 180*(n-2).  Each angle is the total over n, in this case 160 degs.<BR>\n" );
document.write( "160 = 180*(n-2)/n<BR>\n" );
document.write( "160n = 180n - 360<BR>\n" );
document.write( "-20n = -360<BR>\n" );
document.write( "n = 18 sides<BR>\n" );
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